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Finding the Third Proportional to 59,494 and 79,316

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Solution

The third proportional to 59,494 and 79,316 is: 105,742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,494 : 79,316 = 79,316 : x
  2. Step 2: Convert to fraction form
    59,494/79,316 = 79,316/x
  3. Step 3: Cross multiply
    59,494x = 79,316 × 79,316
  4. Step 4: Simplify right side
    59,494x = 6,291,027,856
  5. Step 5: Solve for x
    x = 6,291,027,856/59,494
  6. Step 6: Final answer
    x = 105,742.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.